Abstract:Primes in a progression Dedekind zeta function Dirichlet L-function Branch of complex logarithm Linear forms in logarithms Siegel zeroAssuming a weaker form of the Riemann hypothesis for Dedekind zeta functions by allowing Siegel zeros, we extend a classical result of Cramér on the number of primes in short intervals to prime ideals of the ring of integers in cyclotomic extensions with norms belonging to such intervals. The extension is uniform with respect to the degree of the cyclotomic extension. Our approa… Show more
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